Of course, wire gauge also affects resistance, effectively meaning you'll need higher voltage to get the same amount of current. That's the payoff for getting tighter coils (with more, and closer, turns).The wire gauge affects inductance only indirectly, since the wire size determines how many turns you can wind on a given toroid and, of course, inductance is proportional to the number of turns.
Ah, great point. I hadn't even considered AC, I was thinking in terms of a coil-gun, or something similar. I guess the only thing I'd add to that is, resistance matters in determining waste heat.Depending on frequency, DC resistance is a trivial contribution to impedance. For a DC coil, wire gauge and thus resistance matters a lot. For high frequency, inductance contributes far more to the total impedance.
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